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Finding the Fourth Proportional to 4,535.66, 6,804.20 and 1,415.03

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Solution

The fourth proportional to 4,535.66, 6,804.20 and 1,415.03 is: 2,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.66 : 6,804.20 = 1,415.03 : x
  2. Step 2: Convert to fraction form
    4,535.66/6,804.20 = 1,415.03/x
  3. Step 3: Cross multiply
    4,535.66x = 6,804.20 × 1,415.03
  4. Step 4: Simplify right side
    4,535.66x = 9,628,147.13
  5. Step 5: Solve for x
    x = 9,628,147.13/4,535.66
  6. Step 6: Final answer
    x = 2,122.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.